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avatar+34 
1. How is the decimal number 6 written in binary?

       100

       110

       101

       111

 

2. How is the decimal number 7 written in binary?

       100

       110

       101

       111


Question 3. 3. How is the binary number 1001 written as a decimal number?

       8

       9

       10

       12
 May 4, 2015

Best Answer 

 #1
avatar+29 
+10

To convert into binary, you have to consider how the number can be decomposed into a sum of power of 2. You must start from the highest power of two lower than your number.

So take your number 6 in your first problem. $$2^3 = 8$$ And so we must start at $$2^2$$. We hence write 6 below:

$$6 = 1 \mbox{x} 2^2 + 1 \mbox{x} 2^1 + 0 \mbox{x} 2^0$$

You can read straight off this as 6 = 110 in binary

 May 4, 2015
 #1
avatar+29 
+10
Best Answer

To convert into binary, you have to consider how the number can be decomposed into a sum of power of 2. You must start from the highest power of two lower than your number.

So take your number 6 in your first problem. $$2^3 = 8$$ And so we must start at $$2^2$$. We hence write 6 below:

$$6 = 1 \mbox{x} 2^2 + 1 \mbox{x} 2^1 + 0 \mbox{x} 2^0$$

You can read straight off this as 6 = 110 in binary

TheMathsStudent May 4, 2015
 #2
avatar+34 
+5

Oh well now that i look at what you are saying it seems very simply now, thank you!

 May 5, 2015

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